Abstract
Abstract
Highlights
Self-sustained oscillations can be observed in many natural phenomena, such as oscillatory chemical reactions (Kuramoto 1984), spiking neurons (Ermentrout & Terman 2010), 911 R2-1I.A
We confirm that the chosen characteristic numbers used in this study determine the phase dynamics by the results shown in figure 2(b), where close agreement can be seen between Zy(θ ) evaluated for material types 1 and 8
We have applied phase-reduction theory to find the synchronization characteristics of vortex shedding by periodic perturbation on the surrounding elastic structure
Summary
Self-sustained oscillations can be observed in many natural phenomena, such as oscillatory chemical reactions (Kuramoto 1984), spiking neurons (Ermentrout & Terman 2010), 911 R2-1I.A. One interesting phenomenon observed in oscillating dynamics is synchronization (Kuramoto 1984; Pikovsky, Rosenblum & Kurths 2001; Ermentrout & Terman 2010). Such dynamical systems are generally nonlinear and can be infinite-dimensional, their periodic nature allows the dynamics to be represented in a simplified manner using phase-reduction theory, which is a powerful tool that allows synchronization characteristics to be analysed by considering only the phase dynamics of the system (Kuramoto 1984; Pikovsky et al 2001; Ermentrout & Terman 2010; Nakao 2016)
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